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Finding the Fourth Proportional to 1,522.35, 2,283.39 and 742.05

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Solution

The fourth proportional to 1,522.35, 2,283.39 and 742.05 is: 1,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.35 : 2,283.39 = 742.05 : x
  2. Step 2: Convert to fraction form
    1,522.35/2,283.39 = 742.05/x
  3. Step 3: Cross multiply
    1,522.35x = 2,283.39 × 742.05
  4. Step 4: Simplify right side
    1,522.35x = 1,694,389.55
  5. Step 5: Solve for x
    x = 1,694,389.55/1,522.35
  6. Step 6: Final answer
    x = 1,113.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.